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12122388 = 22324143191
BaseRepresentation
bin101110001111…
…100100010100
3211210212210100
4232033210110
511100404023
61111454100
7205016145
oct56174424
924725710
1012122388
11692a803
124087330
132685915
141877acc
1510e6c43
hexb8f914

12122388 has 72 divisors (see below), whose sum is σ = 32288256. Its totient is φ = 3830400.

The previous prime is 12122387. The next prime is 12122389. The reversal of 12122388 is 88322121.

12122388 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12122387) and next prime (12122389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12122387) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63373 + ... + 63563.

It is an arithmetic number, because the mean of its divisors is an integer number (448448).

Almost surely, 212122388 is an apocalyptic number.

12122388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16144128).

12122388 is an abundant number, since it is smaller than the sum of its proper divisors (20165868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12122388 is a wasteful number, since it uses less digits than its factorization.

12122388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 280 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12122388 is about 3481.7219877526. The cubic root of 12122388 is about 229.7185467126.

It can be divided in two parts, 1212 and 2388, that added together give a square (3600 = 602).

The spelling of 12122388 in words is "twelve million, one hundred twenty-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 43 82 86 123 129 164 172 191 246 258 369 382 387 492 516 573 738 764 774 1146 1476 1548 1719 1763 2292 3438 3526 5289 6876 7052 7831 8213 10578 15662 15867 16426 21156 23493 24639 31324 31734 32852 46986 49278 63468 70479 73917 93972 98556 140958 147834 281916 295668 336733 673466 1010199 1346932 2020398 3030597 4040796 6061194 12122388